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Finding the Third Proportional to 312,173,186,772.38 and 496,728,908,452.68

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Solution

The third proportional to 312,173,186,772.38 and 496,728,908,452.68 is: 790,393,342,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,173,186,772.38 : 496,728,908,452.68 = 496,728,908,452.68 : x
  2. Step 2: Convert to fraction form
    312,173,186,772.38/496,728,908,452.68 = 496,728,908,452.68/x
  3. Step 3: Cross multiply
    312,173,186,772.38x = 496,728,908,452.68 × 496,728,908,452.68
  4. Step 4: Simplify right side
    312,173,186,772.38x = 246,739,608,492,590,925,611,008
  5. Step 5: Solve for x
    x = 246,739,608,492,590,925,611,008/312,173,186,772.38
  6. Step 6: Final answer
    x = 790,393,342,374.09

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.